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Question
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
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Solution
As we know that the opposite sides of a parallelogram are equal.
So, AB = DC = 4 cm
BC = AD = 5 cm
∠B = 60°
∠A + ∠B = 180° ...[Sum of cointerior angles]
∠A = 180°
Steps of construction:
Step I: Draw AB = 4 cm.
Step II: Draw ray BX that is ∠ABX = 60°.
Step III: Mark a point C that is BC = 5 cm.
Step IV: Draw a ray AY that is ∠YAB = 120.
Step V: Mark a point D that is AD = 5 cm.
Step VI: Join C and D.
Hence, ABCD is required parallelogram.
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